UGC NET Questions (Paper – 1)

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Q: Which of the following statements about basic logical equivalence laws are correct?

(A) Double negation in classical logic states that not–not–p is logically equivalent to p;
(B) One of De Morgan’s laws states that not(p and q) is equivalent to (not p or not q);
(C) Another De Morgan law states that not(p or q) is equivalent to (not p and not q);
(D) The implication “If p then q” can be rewritten equivalently as “not p or q”;
(E) The expressions “p and (q or r)” and “(p and q) or (p and r)” are logically equivalent by the distributive law;
(F) In UGC NET reasoning, these equivalences are never used to simplify complex statements;
Choose the correct answer from the options given below:

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